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1042442352 = 243372911887
BaseRepresentation
bin111110001000100…
…110100001110000
32200122112120002000
4332020212201300
54113331123402
6251235054000
734555420350
oct7610464160
92618476060
101042442352
11495482406
12251141300
13137c7a5c3
149c638b60
15617b6c1c
hex3e226870

1042442352 has 160 divisors (see below), whose sum is σ = 3537868800. Its totient is φ = 287546112.

The previous prime is 1042442341. The next prime is 1042442371. The reversal of 1042442352 is 2532442401.

1042442352 is a `hidden beast` number, since 1 + 0 + 424 + 4 + 235 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81753 + ... + 93639.

It is an arithmetic number, because the mean of its divisors is an integer number (22111680).

Almost surely, 21042442352 is an apocalyptic number.

1042442352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768934400).

1042442352 is an abundant number, since it is smaller than the sum of its proper divisors (2495426448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1042442352 is a wasteful number, since it uses less digits than its factorization.

1042442352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1042442352 is about 32286.8758476258. The cubic root of 1042442352 is about 1013.9518901582.

Adding to 1042442352 its reverse (2532442401), we get a palindrome (3574884753).

The spelling of 1042442352 in words is "one billion, forty-two million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 11887 12528 14616 21924 23774 29232 35661 43848 47548 71322 83209 87696 95096 106983 142644 166418 190192 213966 249627 285288 320949 332836 344723 427932 499254 570576 641898 665672 689446 748881 855864 998508 1034169 1283796 1331344 1378892 1497762 1711728 1997016 2068338 2246643 2413061 2567592 2757784 2995524 3102507 3994032 4136676 4493286 4826122 5135184 5515568 5991048 6205014 7239183 8273352 8986572 9307521 9652244 11982096 12410028 14478366 16546704 17973144 18615042 19304488 21717549 24820056 28956732 35946288 37230084 38608976 43435098 49640112 57913464 65152647 74460168 86870196 115826928 130305294 148920336 173740392 260610588 347480784 521221176 1042442352